If call someone (either local or long distance) and they would like me to transfer their call to a number that is out of our area code, does the party that I've transferred get billed from their carrier for the long distance charges?

Example:

I've called (636) xxx-xxxx and talked for a while...She wants to make a long distance call after we're done talking. I offer to transfer...

Press flash (etc.) #90 (212) xxx-xxxx, # and hang up.

She should be connected to the number I've dialed. Does that show up on her long distance bill? Or is it free since I have the unlimited plan? Or do I get billed for the long distance charges??